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Finding the Fourth Proportional to 426,176.38, 588,126.62 and 232,585.57

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Solution

The fourth proportional to 426,176.38, 588,126.62 and 232,585.57 is: 320,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,176.38 : 588,126.62 = 232,585.57 : x
  2. Step 2: Convert to fraction form
    426,176.38/588,126.62 = 232,585.57/x
  3. Step 3: Cross multiply
    426,176.38x = 588,126.62 × 232,585.57
  4. Step 4: Simplify right side
    426,176.38x = 136,789,765,144.87
  5. Step 5: Solve for x
    x = 136,789,765,144.87/426,176.38
  6. Step 6: Final answer
    x = 320,969.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.